The research of the determined chaotic mode of electrotechnical systems with the generating sources by velocity gradient method of vector lyapunov functions

Abstract

The article suggests a method for researching the deterministic chaotic mode of an electrotechnical system with generating sources by velocity gradient method of vector Lyapunov functions. Unregulated electrotechnical system is considered. The condition of robust stability of the existing stationary state is obtained in the form of a system of inequalities for the uncertain parameters of the electrotechnical system with generating sources (ETS GS). It is seen on the simulation system of ETS GS, that a deterministic chaos mode with the formation of a 'strange attractor' generated in the system when uncertain parameters locate beyond the limits of robust stability.

Original language	English
Title of host publication	2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781538651414
DOIs	https://doi.org/10.1109/SIBCON.2019.8729603
Publication status	Published - 1 Apr 2019
Event	2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Tomsk, Russian Federation Duration: 18 Apr 2019 → 20 Apr 2019

Publication series

Name	2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings

Conference

Conference	2019 International Siberian Conference on Control and Communications, SIBCON 2019
Country	Russian Federation
City	Tomsk
Period	18.4.19 → 20.4.19

Keywords

Control systems
Electrotechnical systems
Lyapunov direct method
Modelling
Robust stability
Stability
Vector Lyapunov function

ASJC Scopus subject areas

Control and Optimization
Computer Networks and Communications
Signal Processing

Access to Document

10.1109/SIBCON.2019.8729603

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Beisenbi, M. A., Satpayeva, A. K., Nikulin, V. V., Goncharov, V. I., Va, S. S. M., & Zhalmuhamedova, Z. M. (2019). The research of the determined chaotic mode of electrotechnical systems with the generating sources by velocity gradient method of vector lyapunov functions. In 2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings [8729603] (2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SIBCON.2019.8729603

The research of the determined chaotic mode of electrotechnical systems with the generating sources by velocity gradient method of vector lyapunov functions. / Beisenbi, Mamyrbek A.; Satpayeva, Ainur K.; Nikulin, Vladimir V.; Goncharov, Valery I.; Va, Shugla S.Mussabayeva; Zhalmuhamedova, Zhanetta M.

2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. 8729603 (2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Beisenbi, MA, Satpayeva, AK, Nikulin, VV, Goncharov, VI, Va, SSM & Zhalmuhamedova, ZM 2019, The research of the determined chaotic mode of electrotechnical systems with the generating sources by velocity gradient method of vector lyapunov functions. in 2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings., 8729603, 2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings, Institute of Electrical and Electronics Engineers Inc., 2019 International Siberian Conference on Control and Communications, SIBCON 2019, Tomsk, Russian Federation, 18.4.19. https://doi.org/10.1109/SIBCON.2019.8729603

Beisenbi MA, Satpayeva AK, Nikulin VV, Goncharov VI, Va SSM, Zhalmuhamedova ZM. The research of the determined chaotic mode of electrotechnical systems with the generating sources by velocity gradient method of vector lyapunov functions. In 2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2019. 8729603. (2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings). https://doi.org/10.1109/SIBCON.2019.8729603

Beisenbi, Mamyrbek A. ; Satpayeva, Ainur K. ; Nikulin, Vladimir V. ; Goncharov, Valery I. ; Va, Shugla S.Mussabayeva ; Zhalmuhamedova, Zhanetta M. / The research of the determined chaotic mode of electrotechnical systems with the generating sources by velocity gradient method of vector lyapunov functions. 2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. (2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings).

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abstract = "The article suggests a method for researching the deterministic chaotic mode of an electrotechnical system with generating sources by velocity gradient method of vector Lyapunov functions. Unregulated electrotechnical system is considered. The condition of robust stability of the existing stationary state is obtained in the form of a system of inequalities for the uncertain parameters of the electrotechnical system with generating sources (ETS GS). It is seen on the simulation system of ETS GS, that a deterministic chaos mode with the formation of a 'strange attractor' generated in the system when uncertain parameters locate beyond the limits of robust stability.",

keywords = "Control systems, Electrotechnical systems, Lyapunov direct method, Modelling, Robust stability, Stability, Vector Lyapunov function",

author = "Beisenbi, {Mamyrbek A.} and Satpayeva, {Ainur K.} and Nikulin, {Vladimir V.} and Goncharov, {Valery I.} and Va, {Shugla S.Mussabayeva} and Zhalmuhamedova, {Zhanetta M.}",

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AU - Goncharov, Valery I.

AU - Va, Shugla S.Mussabayeva

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AB - The article suggests a method for researching the deterministic chaotic mode of an electrotechnical system with generating sources by velocity gradient method of vector Lyapunov functions. Unregulated electrotechnical system is considered. The condition of robust stability of the existing stationary state is obtained in the form of a system of inequalities for the uncertain parameters of the electrotechnical system with generating sources (ETS GS). It is seen on the simulation system of ETS GS, that a deterministic chaos mode with the formation of a 'strange attractor' generated in the system when uncertain parameters locate beyond the limits of robust stability.

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